Faddeev calculations of the $\bar{K}NN$ system with chirally-motivated $\bar{K}N$ interaction. I. Low-energy $K^{-}d$ scattering and antikaonic deuterium

Abstract

A chirally-motivated coupled-channel $\bar{K}N$ potential, reproducing all low-energy experimental data on $K^{-}p$ scattering and kaonic hydrogen and suitable for using in accurate few-body calculations, was constructed. The potential was used for calculations of low-energy amplitudes of the elastic $K^{-}d$ scattering using Faddeev-type AGS equations with coupled $\bar{K}NN$ and $\pi \Sigma N$ channels. A complex $K^{-}-d$ potential reproducing the three-body $K^{-}d$ amplitudes was constructed and used for calculation of $1s$ level shift and width of kaonic deuterium. The predicted shift $\Delta E_{1s}^{K^{-}d}\sim -830$ eV and width ${\Gamma }_{1s}^{K^{-}d}\sim 1055$ eV are close to our previous results obtained with phenomenological $\bar{K}N$ potentials.

15 pages, 5 figures, 3 tables

References in corpus (6)

• K^- p scattering length from scattering experiments
• Meson-baryon reactions with strangeness -1 within a chiral framework
• Faddeev calculations of the $\bar{K}NN$ system with chirally-motivated $\bar{K}N$ interaction. II. The $K^{-}pp$ quasi-bound state
• Kaonic hydrogen versus the $K^{-}p$ low energy data
• Faddeev-Chiral Unitary Approach to the $K^{-}d$ scattering length
• Signature of the $\Lambda (1405)$ resonance in neutron spectra from the $K^{-}+d$ reaction

Cited by in corpus (17)

• Review of the $\mathbf{\Lambda }$(1405): A curious case of a strange-ness resonance
• Antikaon-nucleon interaction and Lambda(1405) in chiral SU(3) dynamics
• Faddeev calculations of the $\bar{K}NN$ system with chirally-motivated $\bar{K}N$ interaction. II. The $K^{-}pp$ quasi-bound state
• Few-body systems consisting of mesons
• Recoil corrections in antikaon-deuteron scattering
• Three-body antikaon-nucleon systems
• Three-body calculation of the $1s$ level shift in kaonic deuterium with realistic $\bar{K}N$ potentials
• Exact calculations of a quasi-bound state in the $\bar{K}\bar{K}N$ system
• Kaonic Hydrogen and Deuterium in Hamiltonian Effective Field Theory
• Three-body calculation of the $1s$ level shift in kaonic deuterium
• On a quasi-bound state in the $K^{-}d$ system caused by strong interactions
• Quasi-bound state in the $\bar{K}NNN$ system
• Light kaonic atoms: from "corrected" to "summed up" Deser formula
• Kaon-deuteron femtoscopy from unitarized chiral interactions
• Trace of $\Lambda (1405)$ resonance in low energy $K^{-}+{}^3\mathrm{He}\to ({\pi }^0{\Sigma }^0)+d$ reaction
• States generated in the $K$-multi-$\rho$ interactions
• On the width of the $K^{-}$D atom ground state